Sharp weighted estimates for multilinear Calder´on-Zygmund operators on non-homogeneous spaces
Dr. Abhishek Ghosh, IISER, Bhopal
| Speaker |
Dr. Abhishek Ghosh, IISER, Bhopal
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|---|---|
| When |
Apr 26, 2021
from 04:00 PM to 05:00 PM |
| Where | zoom meet |
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Abstract: The celebrated A2 conjecture states that the weighted L2 norm of a Calderon-Zygmund operator is linear in terms of the A2 characteristic of the weight. After many significant intermediate developments by C. Perez, M.T. Lacey, S. Petermichl, A. Volberg, A. Lerner, and others, it was completely resolved by T.Hytonen in 2010. These developments gave rise to the powerful technique of "sparse domination".
In this talk, we shall discuss A2 conjecture and sparse domination for multilinear Calderon-Zygmund operators on non-homogeneous spaces. As a consequence, we obtain appropriate weighted estimates for multilinear Calderon- Zygmund operators.